On a particular class of warped products with fibres locally isometric to generalized Cartan hypersurfaces

Ryszard Deszcz, and Mike Scherfner. "On a particular class of warped products with fibres locally isometric to generalized Cartan hypersurfaces." Colloquium Mathematicae 109.1 (2007): 13-29. <http://eudml.org/doc/283747>.

@article{RyszardDeszcz2007,
abstract = {We prove that every generalized Cartan hypersurface satisfies the so called Roter type equation. Using this fact, we construct a particular class of generalized Robertson-Walker spacetimes.},
author = {Ryszard Deszcz, Mike Scherfner},
journal = {Colloquium Mathematicae},
keywords = {pseudosymmetric manifold; warped product; generalized Robertson-Walker spacetime; Roter type manifold; generalized Cartan hypersurface},
language = {eng},
number = {1},
pages = {13-29},
title = {On a particular class of warped products with fibres locally isometric to generalized Cartan hypersurfaces},
url = {http://eudml.org/doc/283747},
volume = {109},
year = {2007},
}

TY - JOUR
AU - Ryszard Deszcz
AU - Mike Scherfner
TI - On a particular class of warped products with fibres locally isometric to generalized Cartan hypersurfaces
JO - Colloquium Mathematicae
PY - 2007
VL - 109
IS - 1
SP - 13
EP - 29
AB - We prove that every generalized Cartan hypersurface satisfies the so called Roter type equation. Using this fact, we construct a particular class of generalized Robertson-Walker spacetimes.
LA - eng
KW - pseudosymmetric manifold; warped product; generalized Robertson-Walker spacetime; Roter type manifold; generalized Cartan hypersurface
UR - http://eudml.org/doc/283747
ER -